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Finding the Fourth Proportional to 381,117.12, 571,699.56 and 128,376.84

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Solution

The fourth proportional to 381,117.12, 571,699.56 and 128,376.84 is: 192,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,117.12 : 571,699.56 = 128,376.84 : x
  2. Step 2: Convert to fraction form
    381,117.12/571,699.56 = 128,376.84/x
  3. Step 3: Cross multiply
    381,117.12x = 571,699.56 × 128,376.84
  4. Step 4: Simplify right side
    381,117.12x = 73,392,982,942.19
  5. Step 5: Solve for x
    x = 73,392,982,942.19/381,117.12
  6. Step 6: Final answer
    x = 192,573.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.